Aas, Asa, and Hk

Mark the angle pairs which are congruent due to the presence of transversal HK which would help prove that triangles RXH and KXN are congruent.

• ∠RXK ≅ ∠HXN

• ∠RHX ≅ ∠NKX

• ∠CRN ≅ ∠TNC

• ∠RHX ≅ ∠KXN

Given the information in the image, you can deduce that the triangles are ​ (a)   because ​ (b)   ​

• of the ASA Triangle congruence postulate.

• of the SSA Triangle congruence theorem.

• of the SSS Triangle congruence postulate.

• of the HL Triangle congruence postulate.

• of the AAS Triangle congruence theorem.

• of the SAS Triangle congruence theorem.

• there is not enough information given.

• congruent

• not congruent

Given the information in the image, you can deduce that the triangles are ​ (a)   because ​ (b)   ​

• of the ASA Triangle congruence postulate.

• of the SSA Triangle congruence theorem.

• of the SSS Triangle congruence postulate.

• of the HL Triangle congruence postulate.

• of the AAS Triangle congruence theorem.

• of the SAS Triangle congruence theorem.

• there is not enough information given.

• congruent

• not congruent

Given the information in the image, you can deduce that the triangles are ​ (a)   because ​ (b)   ​

• of the ASA Triangle congruence postulate.

• of the SSA Triangle congruence theorem.

• of the HL Triangle congruence postulate.

• of the AAS Triangle congruence theorem.

• of the SAS Triangle congruence theorem.

• there is not enough information given.

• congruent

• not necessarily congruent

• of the SSS Triangle congruence postulate.

These two triangles can be proven congruent by using...

• AAS

• HL

• ASA

• None

Which triangle congruence theorem can be used to prove the triangles are congruent?

• ASA

• AAS

• SAS

• AAA

Are these triangles congruent? If so, state the rule which you used to determine congruence.

• Yes by ASA

• Yes by AAS

• Yes by SSA

• Not congruent

Are these triangles congruent?

• Yes, by AAS

• Yes, by SAS

• Yes, by ASA

• No, this is the SSA one!!

Answer explanation

Even though Side-Side-Angle are marked congruent, SSA is NOT a triangle congruence theorem.

This cannot prove triangles are congruent.

Remember "No swearing!"

How are these triangles congruent?

• AAS

• ASA

• SAS

• Not enough information

How are these two triangles congruent?

• AAS

• ASA

• Not enough information

• SAS